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Finding the Third Proportional to 32,007 and 44,790

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Solution

The third proportional to 32,007 and 44,790 is: 62,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007 : 44,790 = 44,790 : x
  2. Step 2: Convert to fraction form
    32,007/44,790 = 44,790/x
  3. Step 3: Cross multiply
    32,007x = 44,790 × 44,790
  4. Step 4: Simplify right side
    32,007x = 2,006,144,100
  5. Step 5: Solve for x
    x = 2,006,144,100/32,007
  6. Step 6: Final answer
    x = 62,678.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.